Examples of GroupsΒΆ
The groups object may be used to access examples of various groups.
Using tab-completion on this object is an easy way to discover and quickly
create the groups that are available (as listed here).
Let <tab> indicate pressing the tab key. So begin by typing
groups.<tab> to the see primary divisions, followed by (for example)
groups.matrix.<tab> to access various groups implemented as sets of matrices.
- Permutation Groups (
groups.permutation.<tab>)groups.permutation.Symmetricgroups.permutation.Alternatinggroups.permutation.KleinFourgroups.permutation.Quaterniongroups.permutation.Cyclicgroups.permutation.ComplexReflectiongroups.permutation.Dihedralgroups.permutation.DiCyclicgroups.permutation.Mathieugroups.permutation.Suzukigroups.permutation.PGLgroups.permutation.PSLgroups.permutation.PSpgroups.permutation.PSUgroups.permutation.PGUgroups.permutation.Transitivegroups.permutation.RubiksCube
- Matrix Groups (
groups.matrix.<tab>) - Finitely Presented Groups (
groups.presentation.<tab>) - Affine Groups (
groups.affine.<tab>) - Lie Groups (
groups.lie.<tab>) - Miscellaneous Groups (
groups.misc.<tab>)- Coxeter, reflection and related groups
- other miscellanous groups